 Hello and welcome to the session, let us discuss the following question. It says, name the opt-tents in which following points lie. To solve this problem, that is to determine the opt-tent to which a particular point belongs will refer to the table showing the signs of the coordinates of a point in eight opt-tents. And we see that in the first opt-tent, all the three coordinates are positive. In the second opt-tent, the x-coordinate is negative and y-z are positive. In the third opt-tent, we see that x and y-coordinates are negative, z is positive. In the fourth opt-tent, x and z are positive, y is negative. In the fifth opt-tent, x and y are positive and z is negative. And in the sixth opt-tent, we see that x and z-coordinates are negative but y is positive. And we see that in the seventh opt-tent, all the three coordinates are negative. And in the eighth opt-tent, we see that the x-coordinate is positive but y and z are negative. So looking at this table, we'll answer this question. Let us now move on to the solution. The first point is 1, 2, 3. Now we see that all the three coordinates are positive. So this point lies in the first opt-tent. And the second point given to us is 4 minus 2, 3. And here we can see that x and z-coordinates are positive but y is negative. And we see that in the fourth opt-tent, x and z are positive but y is negative. So this point lies in fourth opt-tent. Now the third point given to us is 4 minus 2, minus 5. Here y and z-coordinates are negative but x-coordinate is positive. And we see that in the eighth opt-tent, x is positive but y and z are negative. So this point lies in the eighth opt-tent. Now the fourth point given to us is 4, 2, minus 5. Here we see that x and y-coordinates are positive but z is negative. And we can see that in the fifth opt-tent, x and y are positive but z is negative. So this point lies in the fifth opt-tent. Now the next point given to us is minus 4, 2, minus 5. That is here x and z-coordinates are negative but the y-coordinate is positive. Now we see in which opt-tent x and z are negative but y is positive in the sixth opt-tent. So this point lies in the sixth opt-tent. Now the next point given to us is minus 4, 2, 5. Here y and z-coordinates are positive but x is negative. Let's now see in which opt-tent x is negative but y and z are positive in the second opt-tent. Looking at this table you can easily see that which point lies in which opt-tent. Looking at their signs. Now the next point given to us is minus 3, minus 1, 6. Here x and y are negative but z is positive and this happens in the third opt-tent. Now the last point given to us is 2, minus 4, minus 7. Here y and z are negative but x is positive and this happens in eighth opt-tent. The answer is the first point lies in the first opt-tent, second lies in the fourth opt-tent, third lies in the eighth opt-tent, fourth lies in the fifth opt-tent, fifth lies in the sixth opt-tent and the sixth point lies in the second opt-tent and the next point lies in the third opt-tent and the last lies in the eighth opt-tent. And this completes the question. Bye for now. Take care. Have a good day.